13 Mar 2023
 | 13 Mar 2023
Status: this preprint is open for discussion and under review for Weather and Climate Dynamics (WCD).

A linear assessment of waveguidability for barotropic Rossby waves in different large-scale flow configurations

Antonio Segalini, Jacopo Riboldi, Volkmar Wirth, and Gabriele Messori

Abstract. Topographically forced Rossby waves shape the upper-level waveguide over the midlatitudes, affecting the propagation of transient waves therein, and have been linked to multiple surface extremes. The complex interplay between the forcing and the background flow in shaping the Rossby wave response still needs to be elucidated in a variety of configurations. We propose here an analytical solution of the linearized barotropic vorticity equation to obtain the stationary forced Rossby wave resulting from arbitrary combinations of forcing and background zonal wind. While the onset of barotropic instability might hinder the applicability of the linear framework, we show that the nonlinear wave response can still be retrieved qualitatively from the linearized solution. Examples using single- and double-jet configurations are discussed to illustrate the method and study how the background flow can act as a waveguide for Rossby waves.

Antonio Segalini et al.

Status: open (until 04 May 2023)

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Antonio Segalini et al.

Antonio Segalini et al.


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Short summary
Planetary Rossby waves are created by topography and evolve in time. In this work, an analytical solution of this classical problem is proposed under the approximation of linear wave dynamics. The theory is able to describe reasonably well the evolution of the perturbation and compares well with full nonlinear simulations. Several relevant cases with single and double zonal jets are assessed with the theoretical framework